

A140626


Primes of the form 51x^2+48xy+56y^2.


1



59, 179, 659, 971, 1019, 1091, 1571, 1931, 1979, 2339, 2459, 2579, 2939, 3251, 3299, 3371, 3491, 3851, 4019, 4211, 4259, 4931, 5171, 5531, 5651, 6131, 6299, 6491, 6779, 6899, 7019, 7211, 7451, 7499, 7691, 8819, 9059, 9419, 9491, 10091
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OFFSET

1,1


COMMENTS

Discriminant=9120. Also primes of the form 59x^2+4xy+116y^2.
In base 12, the sequence is 4E, 12E, 46E, 68E, 70E, 76E, XXE, 114E, 118E, 142E, 150E, 15XE, 184E, 1X6E, 1XXE, 1E4E, 202E, 228E, 23XE, 252E, 256E, 2X2E, 2EXE, 324E, 332E, 366E, 378E, 390E, 3E0E, 3EXE, 408E, 420E, 438E, 440E, 454E, 512E, 52XE, 554E, 55XE, 5X0E, where X is 10 and E is 11. Moreover, the discriminant is 5340.  Walter Kehowski, Jun 01 2008


LINKS



MATHEMATICA

Union[QuadPrimes2[51, 48, 56, 10000], QuadPrimes2[51, 48, 56, 10000]] (* see A106856 *)


CROSSREFS



KEYWORD

nonn,easy


AUTHOR



EXTENSIONS



STATUS

approved



